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Finding the Fourth Proportional to 783.56, 1,174.62 and 296.60

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Solution

The fourth proportional to 783.56, 1,174.62 and 296.60 is: 444.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.56 : 1,174.62 = 296.60 : x
  2. Step 2: Convert to fraction form
    783.56/1,174.62 = 296.60/x
  3. Step 3: Cross multiply
    783.56x = 1,174.62 × 296.60
  4. Step 4: Simplify right side
    783.56x = 348,392.29
  5. Step 5: Solve for x
    x = 348,392.29/783.56
  6. Step 6: Final answer
    x = 444.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.